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Finding the Fourth Proportional to 491,328.78, 736,993.52 and 136,343.14

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Solution

The fourth proportional to 491,328.78, 736,993.52 and 136,343.14 is: 204,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,328.78 : 736,993.52 = 136,343.14 : x
  2. Step 2: Convert to fraction form
    491,328.78/736,993.52 = 136,343.14/x
  3. Step 3: Cross multiply
    491,328.78x = 736,993.52 × 136,343.14
  4. Step 4: Simplify right side
    491,328.78x = 100,484,010,676.45
  5. Step 5: Solve for x
    x = 100,484,010,676.45/491,328.78
  6. Step 6: Final answer
    x = 204,514.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.